Question

Presley has 6 books. There is enough space on a shelf for 4 books. In how many ways can 4 of the 6 books be arranged on the shelf?

Answer 1

6 books to start, then 5, then 4, then 3
so: 6 x 5 x 4 x 3
so 30 x 12
360

Answer 2

The total number of ways to arrange the books on the shelf is 360.

What is combination?

A mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does matter.

According to the given question

There are total 6 books and there is enough space for only 4 books.

Therefore,

there are

6 ways to choose the first book.

5 ways to choose the second book.

and, 3 ways to choose the fourth book.

So, the total number of ways to arrange the books on the shelf = 6×5×4×3

Hence, the order of the books on the shelf is not important then there are 360 ways to put the books on the shelf.

Learn more about the combination here:

https://brainly.com/question/19692242

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